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Hard Ball Systems and the Lorentz Gas

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Cover of 'Hard Ball Systems and the Lorentz Gas'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 A Geometric Approach to Semi-Dispersing Billiards
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    Chapter 3 On the Sequences of Collisions Among Hard Spheres in Infinite Space
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    Chapter 4 Hard Ball Systems and Semi-Dispersive Billiards: Hyperbolicity and Ergodicity
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    Chapter 5 Decay of Correlations for Lorentz Gases and Hard Balls
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    Chapter 6 Entropy Values and Entropy Bounds
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    Chapter 7 Existence of Transport Coefficients
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    Chapter 8 Interacting Particles
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    Chapter 9 Scaling Dynamics of a Massive Piston in an Ideal Gas
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    Chapter 10 Kinetic Theory Estimates for the Kolmogorov-Sinai Entropy, and the Largest Lyapunov Exponents for Dilute, Hard Ball Gases and for Dilute, Random Lorentz Gases
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    Chapter 11 Simulation of Billiards and of Hard Body Fluids
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    Chapter 12 The Lorentz Gas: A Paradigm for Nonequilibrium Stationary States
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    Chapter 13 Entropy Balance, Multibaker Maps, and the Dynamics of the Lorentz Gas
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    Chapter 14 Boltzmann’s Ergodic Hypothesis, a Conjecture for Centuries?
Attention for Chapter 9: Scaling Dynamics of a Massive Piston in an Ideal Gas
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